As the incorporation of higher-order curvature ingredients in the
\(\mathrm {GR}\) 's generic action as corrections appears to be a
natural progression from \(\mathrm {GR}\) . Therefore, one can also
construct the cosmological models in which the Gauss-Bonnet term
\((\mathcal {G})\)  or its generic function \(f(\mathcal {G})\) , appear in
the gravitational component of the GR's action. Such generalizations
give rise to \(f(\mathcal {G})\)  gravity models
[1]}, [2]}, [3]}, where
\(\mathcal {G}\)  is a combination of quadratic-curvature terms, given
by
\(\mathcal {G}=\mathbf {R}^{2}+R_{\alpha \beta \sigma \varsigma }R^{\alpha \beta \sigma \varsigma }-4R_{\alpha \beta }R^{\alpha \beta }\) .
Here \(R_{\alpha \beta }\) , \(R_{\alpha \beta \varrho \sigma }\)  denote the
Ricci tensor and Riemann tensor, respectively.
